Continuity mistake: When Peter launches himself off a firework into Cleveland's house he hits the top floor and completely misses the ground floor. Yet the entire house is damaged including the ground floor. (00:01:25)
To Live and Die in Va. - S2-E17
Continuity mistake: When Cleveland Junior tosses the cereal on the floor, the position of the cereal changes when Cleveland goes to put it under the fridge. (00:11:45)
Continuity mistake: When Cleveland says "They do say you're supposed to chase your bets", Slim Biggins on the Club Nugget casino card has his hands raised. In the next shot, his hands are by his side. (00:07:20)
Continuity mistake: An ace is thrown on a ten of diamonds. The position of the ace changes between shots. (00:04:55)
Other mistake: In the casino montage, there is a shot showing us a roulette wheel that doesn't have a single number on anything. (00:04:05)
Continuity mistake: When Cleveland first sees Tim, Holt and Lester outside, they are standing side by side parallel to the porch. When Cleveland goes outside, they are standing perpendicular to the porch. They are standing side by side parallel again when they show him the suit. (00:03:05)
Continuity mistake: When Donna first shows Cleveland Roberta's college fund, her hand is covering the "Fund" part of the "College Fund" label. The next shot shows almost the entire label covered by her hand. (00:02:35)
Continuity mistake: The position/distance of Holt and Cleveland's beer bottles change at The Broken Stool. (00:03:10)
Continuity mistake: Roberta goes to leave the house and she starts a tug of war with Donna. They are standing next to the door in this shot, but standing next to a table about 15 seconds after. (00:04:45)
Continuity mistake: Cleveland drops a spoon Junior throws at him. It disappears a few seconds later. (00:04:55)
Continuity mistake: When Auntie Mama arrives, her bag is a light blue color. 2 shots later, the bag is now a dark blue color. (00:05:00)
Da Doggone Daddy-Daughter Dinner Dance - S1-E2
Continuity mistake: When Cleveland drops Cleveland Junior off at school, Junior gets out at the back of the car and he is taller than the car's height. In the next shot, he is standing at the front of the car without enough time to move there and he is smaller than the car's height. (00:01:40)
Trivia: An R2-D2 with a wig is visible on Junior's shelf. A nod to Cleveland playing R2-D2 in the Family Guy Star Wars trilogy.
Continuity mistake: When Cleveland is trying to convince Donna to be with him, it is the middle of night. But as Cleveland and Donna kiss and the camera pans round, daylight can be seen outside the window. (00:19:55)
Continuity mistake: When Terry crashes the van into a lamp post, the wing mirror smashes. But after Cleveland has his flashback and Terry looks into the wing mirror to spot the police, the wing mirror is now intact. (00:13:05)
Other mistake: When everyone is saying goodbye to Cleveland and Cleveland Junior, they are standing next to Cleveland's house. Then after they have left and Stewie says "What the hell? He's getting his own show?!", they are standing next to Peter's house. Cleveland's house however, is across the street from Peter's house and could have not been able to stand next to Peter's house if they are at Cleveland's house. (00:03:20)
Continuity mistake: When Cleveland, Tim and Terry are at the Broken Stool, in front of them are empty beer glasses and a top hat right next to the glasses. However, when it shows the shots of Cleveland and Terry, the top hat is now several inches away from the glasses. (00:12:00)
Continuity mistake: At the beginning of the episode, it is the middle of the night when it shows the first shot of The Drunken Clam. This is at the very beginning of the episode and not the first scene after the opening titles by the way. But after Cleveland says he lost the house to Loretta in his divorce, Quagmire asks him where he is going to live. Cleveland replies by asking Quagmire if he can stay at his house. When he says this, it is now the middle of the day. You can notice this from all the other open windows in all the other booths, revealing the daylight. (00:00:05)
Answer: In the episode "A Rodent Like This" Rallo discovers that Cleveland Jr. is actually a secret agent who is tracking down Tim, who is actually criminal. Jr. reveals that in order to get close he had to eliminate the real Cleveland Jr. luckily Cleveland doesn't pay attention so it was easy. Whether or not this is canon or not depends on the writers.